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From Krylov complexity to observability: Capturing phase space dimension with applications in quantum reservoir computing

Saud Čindrak*, Kathy Lüdge, and Lina Jaurigue

  • *Contact author: saud.cindrak@tu-ilmenau.de

Krylov complexity in the ergodically constrained nonintegrable transverse-field Ising model

Gaurav Rudra Malik, Jeet Sharma, Rohit Kumar Shukla, S. Aravinda, and Sunil Kumar Mishra

Phys. Rev. B 113 184207 (2026)

Quantum complexity and localization in random and time-periodic unitary circuits

Himanshu Sahu, Aranya Bhattacharya, and Pingal Pratyush Nath

Phys. Rev. B 113 214312 (2026)

Theory and interpretability of quantum extreme learning machines: A Pauli transfer matrix approach

Markus Gross and Hans-Martin Rieser

Phys. Rev. A 114 042459 (2026)

Emergence of Krylov complexity through quantum walks: an exploration of the quantum origins of complexity

Dimitrios Patramanis and Watse Sybesma

J. High Energ. Phys. 2026 85 (2026)

Engineering quantum reservoirs through Krylov complexity, expressivity, and observability

Saud Čindrak, Lina Jaurigue, and Kathy Lüdge

Phys. Rev. Research 7 043190 (2025)

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